A project has been organized in 11 cities to increase the number of schools in cities. Each of these 11 cities has 12 districts included in the project. In each district, 13 schools with 2 floors, each floor having 7 classrooms, have been built.
Accordingly, what is the total number of classrooms built under this project?
A) $\frac{13!}{10!}$ B) $\frac{14!}{9!}$ C) $\frac{14!}{10!}$ D) $\frac{15!}{9!}$ E) $\frac{15!}{10!}$

Bilge will choose two of the soup, salad, and fruit options given as one portion each at lunch based on the required calorie amount. Regarding the choices she can make, Bilge has calculated that the required calorie amount is
- exceeded when she chooses soup and fruit, - not exceeded when she chooses fruit and salad, - exactly met when she chooses salad and soup.
If the calories of one portion of soup, fruit, and salad are Ç, M, and S respectively, which of the following is the correct ordering of these values?
A) Ç $<$ M $\leq$ S B) Ç $\leq$ S $<$ M C) S $\leq$ Ç $<$ M D) S $<$ M $\leq$ Ç E) M $\leq$ S $<$ Ç

Between each pair of consecutive floors in an apartment building, there is an equal number of staircase steps. Arif, Berk, and Can, who live on different floors of this apartment building, have the following information about the floors they live on.
- The total number of steps between the floor where Arif lives and the floor where Berk lives is odd. - The total number of steps between the floor where Berk lives and the floor where Can lives is even.
Accordingly, which of the following could be the floor numbers where Arif, Berk, and Can live?

Regarding a two-digit natural number $AB$, the following propositions are given: p: The number $AB$ is even. q: The number $A^{AB}$ is prime. r: $A + B = 11$
If the proposition $(p \Rightarrow q) \wedge (q' \wedge r)$ is true, what is the product $A \cdot B$?
A) 18
B) 20
C) 24
D) 28
E) 30

At a coffee shop, the prices of 400 milliliter beverages created using coffee, hot water, and milk components are calculated by adding the prices of each 100 milliliter component separately. The prices and components of three beverages from this coffee shop are shown in the figure above.
Given that the components of the beverage ordered by a customer are as shown in the figure, how much did this customer pay in TL for this beverage?
A) 11 B) 11.5 C) 12 D) 12.5 E) 13

Using the elements of sets $A$ and $B$, each with 9 elements and consisting of letters,
- soldier, - painter, - academic
two of these words can be written with the elements of the $A \cap B$ set, and the other can be written with the elements of the $A \cup B$ set.
Accordingly, which of the following cannot definitely be written with the letters in set $A$?
A) poet B) doctor C) clerk D) artist E) secretary

In the rectangular coordinate plane, the graphs of the functions $f + g$ and $f - g$ are given in the figure.
Given this, what is b?
A) 3 B) 4 C) 5 D) 6 E) 7

On a calculator, when an operation is performed, the machine displays the result as a whole number if the result is an integer, or displays the integer part along with the first two decimal places after the decimal point if the result is a decimal number.
When Nevzat performs the operation $\ln ( 9{,}6 )$ on this calculator, he sees the value 2.26 on the screen, and when he performs the operation $\ln ( 0{,}3 )$, he sees the value $-1{,}20$ on the screen.
When Nevzat performs the operation $\ln ( 0{,}5 )$ on this calculator, what value does he see on the screen?
A) $-0{,}61$
B) $-0{,}65$
C) $-0{,}69$
D) $-0{,}73$
E) $-0{,}77$

A painter writes the year in which he completed each painting in the lower right corner of that painting. A painter who wants to exhibit three paintings he made in 2021 is given the following propositions regarding how these paintings are hung on the walls in the exhibition area:
p: Every painting on the wall is hung upside down. q: Every painting has at least one person in it. r: Every painting is rectangular in shape.
Given that the proposition $(p \vee q)' \wedge r$ is true, which of the following could be the appearance of these three paintings by the painter when hung on the wall in the exhibition area?

A project team of 100 people has a certain number of projects, and everyone in the team will be assigned to some of these projects. It is desired that everyone in the team works on an equal number of projects, but no two people work on exactly the same projects. This condition cannot be satisfied if everyone works on 3 projects, but it can be satisfied if everyone works on 4 projects.
Accordingly, how many projects does the team have?
A) 6
B) 7
C) 8
D) 9
E) 10

$AAB$ and $ABA$ are three-digit natural numbers that are completely divisible by 9, and one of these numbers is completely divisible by 5 while the other is completely divisible by 12.
Accordingly, what is the sum $A + B$?
A) 7 B) 8 C) 9 D) 10 E) 11

Let $n$ be a natural number such that
$$\frac{10^n - 22}{3}$$
is a natural number whose digit sum is 44.
Accordingly, what is n?
A) 13 B) 14 C) 15 D) 16 E) 17

Ahmet organizes the achievement comprehension test files prepared for his mathematics class by topic and files them on his computer. According to Ahmet's filing method, inside the main folder named Mathematics there are 5 folders, inside each folder there are $n$ subfolders, inside each subfolder there are $p$ test files, and each test contains 12 questions.
Ahmet deleted one of the subfolders inside the Probability folder along with its contents because he solved all the tests in that subfolder.
How many questions are in the Mathematics main folder in the final state?
A) $48 \cdot n \cdot p$ B) $n \cdot (60 \cdot p - 1)$ C) $60 \cdot p \cdot (n - 1)$ D) $12 \cdot p \cdot (5 \cdot n - 1)$ E) $12 \cdot p \cdot (5 \cdot n - 1)$

While reading information about a vase he saw in a museum he visited in 2020, Faruk learned that the year the vase was found was the same as the year he was born, and that the vase was 300 years old when it was found. He also calculated that 39 times his own age equals the year the vase was made.
Accordingly, how old is Faruk in 2020?
A) 41 B) 42 C) 43 D) 44 E) 45

In a computer program, after the graphs of functions $f ( x )$ and $f ^ { -1 } ( x )$ are drawn, the coordinate axes are deleted and a grid consisting of equal squares is placed in the background, obtaining the following image.
(Figure given in the original paper.)
Accordingly, what is the sum $a + b$? (Referring to the related question context.)

A two-digit natural number written using the digits 1, 4, or 7 is called a straight-straight number if the number obtained from the sum of its digits also consists of the digits 1, 4, or 7.
Accordingly, how many straight-straight numbers are there?
A) 1 B) 2 C) 3 D) 4 E) 5

The amount of fuel consumed in 1 hour by a rocket moving at a constant speed of $V$ kilometers per hour is calculated by the function
$$f ( V ) = \frac { V ^ { 3 } } { 20 } - 7 \cdot V ^ { 2 } + 265 \cdot V$$
in units.
Accordingly, what is the minimum amount of fuel in units that this rocket must consume to travel 100 kilometers at a constant speed?
A) 1000
B) 2000
C) 3000
D) 4000
E) 5000

A vehicle moving at constant speed in the same direction on a circular track passes point B
- for the 3rd time 3 minutes after starting from point A, - for the 7th time 8 minutes after starting from point A.
Accordingly, how many seconds after starting from point A does this vehicle pass point B for the first time?
A) 30 B) 35 C) 40 D) 45 E) 50

A customer who wants to order pizzas selected from a pizza shop's website encounters a message on the payment screen. After this message, the same customer orders through the mobile application and pays 15\% less than the total amount he would have paid if he had ordered from the website.
Accordingly, what is the total amount the customer paid for the pizzas in the final state in TL?
A) 47 B) 48 C) 49 D) 50 E) 51

In a residential complex consisting of two apartment buildings, one with units numbered 01 to 72 and the other with units numbered 01 to 88 with consecutive numbers, Onur, who lives there, sends a message to Engin, whom he has invited to his home, with the site address, apartment, and unit number.
According to this, what is the sum of the digits of Onur's apartment number?
A) 8 B) 10 C) 12 D) 14 E) 16

Seda, who has made an agreement with an organization company for cold and hot beverages to be served at a birthday party, informs the company that she estimates that between $\%52$ and $\%60$ of the guests will have cold drinks, between $\%67$ and $\%72$ will have hot drinks, and at most $\%4$ will not have any drinks, and asks them to make the necessary preparations.
According to Seda's estimate, between which two percentage values does the ratio of the number of guests who will have both a cold drink and a hot drink to the total number of guests lie?
A) $\%15 - \%24$ B) $\%16 - \%33$ C) $\%19 - \%36$ D) $\%22 - \%30$ E) $\%24 - \%29$

135 students at a school traveled to their homes and back during a holiday break using either bus company $A$ or $B$. While 75 students preferred company A for the outbound trip and 90 students preferred company B for the return trip, 86 students traveled with different companies for the outbound and return trips.
Accordingly, what is the total number of students who went with company B and returned with company A?
A) 22 B) 25 C) 28 D) 31 E) 34

At a workplace where there is work every day, a flexible work system has been implemented. The owner of this workplace asked some employees to come to the workplace every other day, while others to come every third day. After switching to this system, the number of employees coming to the workplace on the first four days was 22, 19, 28, and 26 respectively.
Accordingly, how many employees came to this workplace on the fifth day after switching to this system?
A) 12 B) 15 C) 18 D) 21 E) 24

Ali, standing on a flat ground, turns his direction north and walks 5 meters forward, then turns clockwise $126^{\circ}$ and walks 5 more meters, reaching the point where Berk is located.
Starting from his initial position, if Ali turns his direction north and walks 10 meters forward, then turns clockwise at least how many degrees and continues in that direction to reach the point where Berk is located?
A) 108 B) 117 C) 144 D) 153 E) 162

Triangles in which the length of one side equals the arithmetic mean of the lengths of the other two sides are called mean triangles.
Accordingly, which of these triangles can be mean triangles?
A) Only I B) Only III C) I and II D) II and III E) I, II and III